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aleksley [76]
3 years ago
5

Johnathan is driving from Houston to Seattle. After 3 hours, he has traveled 150 miles. After 7 hours, he has traveled 350 miles

. This information is also represented in the table below.
Driving Time

Time (hr) Distance (miles)
3 150
7 350
10 500

What is Johnathan’s average rate of speed?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

Answer:

50mph

Step-by-step explanation:

first divide 150 by 3 and you get 50

then divide 350 by 7 you get 50

and finally divide 500 by 10 and you get 50

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.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .
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We can employ a simple repeated decimal trick:

x=1.111\ldots

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###

Alternatively, we can compute the partial sum of the series.

\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}

S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}

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\implies S_n=\dfrac{10}9-\dfrac9{10^n}

As n\to\infty, the second term vanishes and we're left with \dfrac{10}9. Notice that this is really just a more formal version of the earlier trick.

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Step-by-step explanation:

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